probe that sin^2 18+cos^2 36=3/4
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sin^2 18+cos^2 36
={(√5-1)/4}^2+{(√5+1)/4}^2
={(√5-1)^2+(√5+1)^2}/16
=2{(√5)^2+1}/16
={2×(5+1)}/16
=12/16
=3/4
{According to trigonometric ratios of submultiple angles sin18= {(√5-1)/4} and cos36={(√5+1)/4}.
={(√5-1)/4}^2+{(√5+1)/4}^2
={(√5-1)^2+(√5+1)^2}/16
=2{(√5)^2+1}/16
={2×(5+1)}/16
=12/16
=3/4
{According to trigonometric ratios of submultiple angles sin18= {(√5-1)/4} and cos36={(√5+1)/4}.
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